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Finding the Third Proportional to 303,556.50 and 666,162

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Solution

The third proportional to 303,556.50 and 666,162 is: 1,461,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,556.50 : 666,162 = 666,162 : x
  2. Step 2: Convert to fraction form
    303,556.50/666,162 = 666,162/x
  3. Step 3: Cross multiply
    303,556.50x = 666,162 × 666,162
  4. Step 4: Simplify right side
    303,556.50x = 443,771,810,244
  5. Step 5: Solve for x
    x = 443,771,810,244/303,556.50
  6. Step 6: Final answer
    x = 1,461,908.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.